ABOUT PROBLEM OF CONTROL THREE-DIMENSIONAL FIELD TRANSVERSE DYNAMIC DISPLACEMENTS OF THICK ELASTIC PLATE

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1 ~ 8 ~ ВІСНИК Київського національного університету імені Тараса Шевченка N UC K c e K Naoa aa eceo Ue K BOU OBE OF CONO HEE-ENON FE NVEE NC CEEN OF HCK EC E e obe aagg ee-eoa co-fe ac acee of c eac ae cee obee fo e a boa coo Foae e of accac a ee of e oo of e obe Keo ffeea oe egae oe ee-eoa obe oco eeac a ob coo of oco oco-ecooc a ecca ocee ae o obe o a aeaca oe e ae of ee ocee o aa obe o coc a aeae oe a o f o a e of aeaca oe aaabe fo e of caca eo of aeaca c coaoa aeac a coo eo obe [- aocae e coe ocee of ffee ae ee eao a ae ffc o foae a e ab o oba e foao ecea o b accae aeaca oe Ofe e coee oce ecbe aeaca oe o aa a goe coee Oe of ee ocee e cac oce coo ee-eoa fe aee ac acee of c eac ae e bacgo fo e ffeea oe of aee ac acee of c eac ae ee ae a caca [ 5 a o caca [6 7 aoace o bg c oe oee ae o o oe ecaca oee ffeea eac ae oe o oee ooe [8 e o e ac cae B a o geeaao [9 e [8 ae o e ac of c eac ae og e obe of coog ee-eoa fe aee ac acee of c eac ae [9 e e eece of e foao abo e a boa ae coo a e cefc eeac ffeea oe of aee ac acee of c eac ae Fo e a of coog eeeoa fe aee ac acee of c eac ae oo fo oga ffeea oe a oe of feae ae ge [9 o oe a a c eac ae ce e Caea cooae e o a face efe ae g a e face of ae e e aco of oa a agea o eea ac foce [ e og eoe e f o a e ae e cooae ae O O O eece ac aee acee a ee ao ffeea ae oe e coeao ae coce [9 a e fo Hee a fe a co co co co co co co co co co a ao eee og с c ae coa a ee с a с oagao of eac ae of eao a f e coee eoe e aea a oeao fo c c K

2 N КІБЕРНЕТИКА / ~ 9 ~ fe of eg gooec cooe co co oeao of e ffeea coe eao a ecbe e ee-eoa fe of ac acee of c eac ae Noe a eao ecoe ag egee of accac ce caca eao [ 5 o-eoa eo of efeco ae a ae o fo e geeaao [7 ae bae o o-caca oe of ecac of o efoabe bo egae oe of aee ac acee c eac ae Hee ae ef fo g e ac of ee-eoa fe of aee ac acee of c eac ae eae ega ffeea oe c b b [ a a e fo ee e 5 We oe ag a e egae oe ecfe a efe aa ec cae of e ac ae e e e ece a ce of oeao ge e coce a e fco і ee aa ec cae of egae aeaca oe e e egee of accac ae a foo ! 7 8! 6!! eo of cacag ega 5 ecoe ega o 6 e eae ea [ Ceo a feae ee-eoa obe og coo fe aee ac acee of c eac ae Coe e ac of ae ce of e eae c aboe e eac ae o of c ae ag o oe aa aea oe a oe e obe of e eeao of e coo fco c o be a fco of e ae e aeage ae cooae cee efe a a boa obeao 7 [ 8 o aea eag e ae eaeae egbooo ee ao [ 9 Hee a fe [ a eae eec o e a aa cooae ea ffeea oeao O e be of a a boa obeao acee o oe a eco

3 ~ ~ ВІСНИК Київського національного університету імені Тараса Шевченка N Ceo coo fco e e fo [ [ o oe obe e e e eo ooe [ a eeoe [ ccog o fco b e ao c [ [ \ Fco efe oe e coee aea [ affecg e fco of e aee ac acee og e fco ca a fe oeg e a of coo a ee-eoa fe aee ac acee of c eac ae og e fco face be eea ac bace e obe o f a coo fco o coe fg eco fco co co 5 c a 6 fe bg eao e a boa coo 7 8 a ag o acco e ee ae efe 9 e oba e e of ega eao 7 a a o eco co a a fco co c co co co co co co Hee e egao efoe oe e ego cage age ega a [ [ a e eo ee e 7 c a 8

4 N КІБЕРНЕТИКА / ~ ~ coog-oeg fco efe [ ao a } } } 9 c fo aba efe a egae e cage of age fco a eo ee o Noe a e aeage aac eco c e coo-oeg fco a af 7 a fo e e e fco coe a a boa coo coog 7 9 be eee b e [ Coe fco of aee ac acee be eee a e ae ao ag o acco fo e 9 coo-oeg fco a e coo fo e ee of e obae oo e[ N N e a of coo a ee-eoa fe aee ac acee of c eac ae a a cee e of face be eea ac bace obe ca be ccef eoe f e oeg a coo fco eee e eco co co co ae a a o a eece cae e fco a cea fo og e obe coa o a 6 eee e ao 5 e obe 5 eae o e aeage ae eo of ea agebac eao 6 c e eco efe aboe a co co co ee co co [

5 ~ ~ ВІСНИК Київського національного університету імені Тараса Шевченка N co [ a fe aeage ae eo 6 c a b aaog e eo cae e f a e coo-oeg eco eee [ ao a } } fo aba co co ee e accac of e oo of e obe efe [ ao a b e ee of e obae oo e } a eo ee o efeece oe VV oa V Koo aeaca oeg of ec a ee obe of be aaee e ac K Naoa a 6 [ Uaa oe VV oa V Zac VB aeaca oeg of e ac of be ace-e ocee K be "ee" 8 6 [ Uaa oa V aeaca oeg of ac of ea aea a oea e K C "Ue of Ke" 9 [ Uaa oeo Voo-Kege ae a e oco FZ [ a 5 oe Bea ae a e oco Naa [ a 6 goeo a Vaco goeo a Neca-aaca oo of obe e ecac of e o e ba of ao oe K caeeoa 6 7 [ a 7 go E eeo o ecac Voe 5 No-caca eo of bao of o ae a e oco VN 97 7 [ a 8 e eoa obe of eac oco oea [ a 9 oa V c KV O e coco of a ffeea oe of ac aee acee of c eac ae // obe of cbeec a foac 7-8 [ a oa V c KV ega oe of ac aee acee of c eac ae // obe of cbeec a foac [ a oa V c KV B bg e eae ega ea ffeea oe // eo of N of Uae 9 6- [ Uaa Надійшла до редколегії 76 К Двірничук асп КНУ імені Тараса Шевченка Київ ПРО ПРОБЛЕМУ КЕРУВАННЯ ТРИВИМІРНИМ ПОЛЕМ ПОПЕРЕЧНОГО ДИНАМІЧНОГО ЗМІЩЕННЯ ТОВСТОЇ ПРУЖНОЇ ПЛАСТИНИ Розглянуті задачі керування трьохвимірним полем поперечних динамічних зміщень товстих пружних плит дискретно спостережуваних за початково-крайовим станом Сформульовані умови точності та однозначності розв'язку поставленої задачі Ключові слова диференціальна модель інтегрована модель тривимірна задача К Двирничук асп КНУ имени Тараса Шевченко Киев О ПРОБЛЕМЕ УПРАВЛЕНИЯ ТРЕХМЕРНЫМ ПОЛЕМ ПОПЕРЕЧНОГО ДИНАМИЧЕСКОГО СМЕЩЕНИЯ ТОЛСТОЙ УПРУГОЙ ПЛАСТИНЫ Рассмотрены задачи управления трехмерным полем поперечных динамических смещений толстых упругих плит дискретно наблюдаемых за начально-краевым состоянием Сформулированные условия точности и однозначности решения поставленной задачи Ключевые слова дифференциальная модель интегрированная модель трехмерная задача

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